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Finding the Fourth Proportional to 312,364.49, 468,546.74 and 75,707.17

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Solution

The fourth proportional to 312,364.49, 468,546.74 and 75,707.17 is: 113,560.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,364.49 : 468,546.74 = 75,707.17 : x
  2. Step 2: Convert to fraction form
    312,364.49/468,546.74 = 75,707.17/x
  3. Step 3: Cross multiply
    312,364.49x = 468,546.74 × 75,707.17
  4. Step 4: Simplify right side
    312,364.49x = 35,472,346,148.22
  5. Step 5: Solve for x
    x = 35,472,346,148.22/312,364.49
  6. Step 6: Final answer
    x = 113,560.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.